Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Long wavelength instability of the ABC-flows

Authors: A. Libin and G. Sivashinsky
Journal: Quart. Appl. Math. 48 (1990), 611-623
MSC: Primary 76E99; Secondary 76D99
DOI: https://doi.org/10.1090/qam/1079909
MathSciNet review: MR1079909
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Abstract: Multiple-scale and spectral (Galerkin) techniques are employed to analyze the long-wave stability of a simple periodic helical flow at large Reynolds numbers. For a certain class of long-wave perturbations the corresponding mathematical problem admits an exact asymptotic solution, showing that the helical flow is always unstable.

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DOI: https://doi.org/10.1090/qam/1079909
Article copyright: © Copyright 1990 American Mathematical Society

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